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相关论文: Almost Envy-Freeness with General Valuations

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Rent division is the well-studied problem of fairly assigning rooms and dividing rent among a set of roommates within a single apartment. A shortcoming of existing solutions is that renters are assumed to be considering apartments in…

计算机科学与博弈论 · 计算机科学 2025-01-14 Ariel D. Procaccia , Benjamin Schiffer , Shirley Zhang

Neural networks have shown state-of-the-art performance in designing auctions, where the network learns the optimal allocations and payment rule to ensure desirable properties. Motivated by the same, we focus on learning fair division of…

计算机科学与博弈论 · 计算机科学 2021-12-13 Shaily Mishra , Manisha Padala , Sujit Gujar

We consider the problem of online fair division of indivisible goods to players when there are a finite number of types of goods and player values are drawn from distributions with unknown means. Our goal is to maximize social welfare…

计算机科学与博弈论 · 计算机科学 2024-12-10 Ariel D. Procaccia , Benjamin Schiffer , Shirley Zhang

In this article we propose a probabilistic framework in order to study the fair division of a divisible good, e.g., a cake, between n players. Our framework follows the same idea than the ''Full independence model'' used in the study of…

计算复杂性 · 计算机科学 2021-08-25 Guillaume Chèze

Algorithmic decision-making in societal contexts, such as retail pricing, loan administration, recommendations on online platforms, etc., can be framed as stochastic optimization under bandit feedback, which typically requires…

机器学习 · 计算机科学 2024-10-22 Jad Salem , Swati Gupta , Vijay Kamble

We study the problem of "fairly" dividing indivisible goods to several agents that have valuation set functions over the sets of goods. As fair we consider the allocations that are envy-free up to any good (EFX), i.e., no agent envies any…

计算机科学与博弈论 · 计算机科学 2025-02-17 Alkmini Sgouritsa , Minas Marios Sotiriou

We study the question of dividing a collection of indivisible goods amongst a set of agents. The main objective of research in the area is to achieve one of two goals: fairness or efficiency. On the fairness side, envy-freeness is the…

计算机科学与博弈论 · 计算机科学 2021-06-03 Vishnu V. Narayan , Mashbat Suzuki , Adrian Vetta

Classic cake-cutting algorithms enable people with different preferences to divide among them a heterogeneous resource (``cake''), such that the resulting division is fair according to each agent's individual preferences. However, these…

计算机科学与博弈论 · 计算机科学 2021-08-06 Erel Segal-Halevi , Shmuel Nitzan , Avinatan Hassidim , Yonatan Aumann

We study ex-post fairness in the object allocation problem where objects are valuable and commonly owned. A matching is fair from individual perspective if it has only inevitable envy towards agents who received most preferred objects --…

计算机科学与博弈论 · 计算机科学 2022-09-09 Aleksei Y. Kondratev , Alexander S. Nesterov

We study classic fair-division problems in a partial information setting. This paper respectively addresses fair division of rent, cake, and indivisible goods among agents with cardinal preferences. We will show that, for all of these…

计算机科学与博弈论 · 计算机科学 2018-11-28 Eshwar Ram Arunachaleswaran , Siddharth Barman , Nidhi Rathi

I provide a unified framework to establish the existence of a weak Pareto efficient, envy-free allocation in general settings: random allocations are probability measures on a compact metric space, and preferences of agents are represented…

理论经济学 · 经济学 2026-05-28 Anna Vakarova

We study the problem of allocating $m$ indivisible items to $n$ agents with additive utilities. It is desirable for the allocation to be both fair and efficient, which we formalize through the notions of envy-freeness and Pareto-optimality.…

计算机科学与博弈论 · 计算机科学 2024-05-08 Yushi Bai , Paul Gölz

We study the problem of finding approximate envy-free allocations up to any $k$ goods ($\alpha$-EFkX), when agents have additive values over goods in a bundle. As our main result, we show that for any $k>2$, $\frac{k+1}{k+2}$-EFkX…

计算机科学与博弈论 · 计算机科学 2026-05-12 Aris Filos-Ratsikas , Georgios Kalantzis , Fangxiao Wang

We study almost-envy-freeness in house allocation, where $m$ houses are to be allocated among $n$ agents so that every agent receives exactly one house. An envy-free allocation need not exist, and therefore we may have to settle for…

计算机科学与博弈论 · 计算机科学 2025-01-07 Jayakrishnan Madathil , Neeldhara Misra , Aditi Sethia

We study the problem of fair allocation of chores to agents with additive preferences. In the discrete setting, envy-freeness up to any chore (EFX) has emerged as a compelling fairness criterion. However, establishing its (non-)existence or…

计算机科学与博弈论 · 计算机科学 2024-11-25 Jugal Garg , Aniket Murhekar , John Qin

A matching in a bipartite graph with parts X and Y is called envy-free if no unmatched vertex in X is a adjacent to a matched vertex in Y. Every perfect matching is envy-free, but envy-free matchings exist even when perfect matchings do…

数据结构与算法 · 计算机科学 2022-04-15 Elad Aigner-Horev , Erel Segal-Halevi

We introduce a new model for two-sided matching which allows us to borrow popular fairness notions from the fair division literature such as envy-freeness up to one good and maximin share guarantee. In our model, each agent is matched to…

计算机科学与博弈论 · 计算机科学 2021-07-16 Rupert Freeman , Evi Micha , Nisarg Shah

The existence of EFX allocations is a central open problem in discrete fair division. An allocation is EFX (envy-free up to any good) if no agent envies another agent after the removal of any single good from the other agent's bundle. We…

计算机科学与博弈论 · 计算机科学 2026-05-15 Hannaneh Akrami , Alexander Mayorov , Kurt Mehlhorn , Shreyas Srinivas , Christoph Weidenbach

We study the existence of allocations of indivisible goods that are envy-free up to one good (EF1), under the additional constraint that each bundle needs to be connected in an underlying item graph. If the graph is a path and the utility…

We study a fair division problem with indivisible items, namely the computation of maximin share allocations. Given a set of $n$ players, the maximin share of a single player is the best she can guarantee to herself, if she would partition…

计算机科学与博弈论 · 计算机科学 2016-05-16 Georgios Amanatidis , Georgios Birmpas , Evangelos Markakis